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Finding the Fourth Proportional to 733.11, 1,011.50 and 453.48

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Solution

The fourth proportional to 733.11, 1,011.50 and 453.48 is: 625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.11 : 1,011.50 = 453.48 : x
  2. Step 2: Convert to fraction form
    733.11/1,011.50 = 453.48/x
  3. Step 3: Cross multiply
    733.11x = 1,011.50 × 453.48
  4. Step 4: Simplify right side
    733.11x = 458,687.70
  5. Step 5: Solve for x
    x = 458,687.70/733.11
  6. Step 6: Final answer
    x = 625.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.